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Simplifying 3(k + -2) + -6 = 4k + -1(3k + -2) Reorder the terms: 3(-2 + k) + -6 = 4k + -1(3k + -2) (-2 * 3 + k * 3) + -6 = 4k + -1(3k + -2) (-6 + 3k) + -6 = 4k + -1(3k + -2) Reorder the terms: -6 + -6 + 3k = 4k + -1(3k + -2) Combine like terms: -6 + -6 = -12 -12 + 3k = 4k + -1(3k + -2) Reorder the terms: -12 + 3k = 4k + -1(-2 + 3k) -12 + 3k = 4k + (-2 * -1 + 3k * -1) -12 + 3k = 4k + (2 + -3k) Reorder the terms: -12 + 3k = 2 + 4k + -3k Combine like terms: 4k + -3k = 1k -12 + 3k = 2 + 1k Solving -12 + 3k = 2 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -12 + 3k + -1k = 2 + 1k + -1k Combine like terms: 3k + -1k = 2k -12 + 2k = 2 + 1k + -1k Combine like terms: 1k + -1k = 0 -12 + 2k = 2 + 0 -12 + 2k = 2 Add '12' to each side of the equation. -12 + 12 + 2k = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 2k = 2 + 12 2k = 2 + 12 Combine like terms: 2 + 12 = 14 2k = 14 Divide each side by '2'. k = 7 Simplifying k = 7
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